Answer by DMcMor for Problem with the definition of the Indefinite integral
Careful, all the second fundamental theorem says is that $$\int_{a}^{x}f(t)\,dt$$ is an antiderivative for $f(x)$. That is not the same as saying that $$\int_{a}^{x}{f(t)\,dt}=\int{f(x)\,dx}$$ which is...
View ArticleProblem with the definition of the Indefinite integral
In the book Thomas' Calculus, the Indefinite integral is defined as follows:we defined the indefinite integral of the function ƒ with respect to x as the set of allantiderivatives of ƒ, symbolized by...
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